Daily Practice · Higher
January 1996 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1996 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1996A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 2nd January 1996A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
- 3rd January 19962 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th January 1996A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 5th January 1996Write the recurring decimal 0.8282... as a fraction in its simplest form.
- 6th January 1996Expand and simplify (x - 1)(x - 4)(x - 1).
- 7th January 1996y is inversely proportional to x. When x = 4, y = 3. Work out y when x = 3.
- 8th January 1996A cone has base radius 9 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 9th January 199617 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th January 1996Four classes in order have frequencies 11, 11, 3, 8. Write down the cumulative frequency at the end of the third class.
- 11th January 1996A bill is £624 including VAT at 20%. Work out the amount before VAT.
- 12th January 1996Make x the subject of y = 5x^2 - 3.
- 13th January 1996y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 7.
- 14th January 1996In triangle ABC, angle A is 51°, angle B is 65° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th January 19961 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th January 199660 beetles are marked and released. Later 12 are caught, of which 2 are marked. Estimate the population.
- 17th January 1996A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th January 1996Factorise x^2 - 36.
- 19th January 1996y is directly proportional to x. When x = 8, y = 48. Work out y when x = 6.
- 20th January 1996A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 21st January 199619 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd January 1996A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd January 1996Work out (14 x 10^6) / (2 x 10^5). Give your answer in standard form.
- 24th January 1996A region is defined by y < -2x - 8. Should the boundary line be solid or dashed, and why?
- 25th January 1996A town's population is 2000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 26th January 1996The point (-1, 5) is enlarged by scale factor -2 about the centre (-2, 4). Write down the coordinates of the image.
- 27th January 19966 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th January 1996A box plot has a minimum of 5 and a maximum of 17. Work out the range.
- 29th January 1996Write the recurring decimal 0.666... as a fraction in its simplest form.
- 30th January 1996Factorise x^2 - 9x + 20.
- 31st January 1996A block has volume 140 cm^3 and density 3 g/cm^3. Work out its mass.